Python第一次作业

fulangxisikexi2026-02-12 9:31

计算下列多项式之和

python 复制代码

sum = 0
for i in range(1,101):
    sum = sum + 1/i
print (sum)

运算结果

计算下列多项式之和

python 复制代码

sum = 0
a = 1
for i in range(1,101):
    sum = sum + 1/i * a
    a = -a
print (sum)

运行结果

计算下列多项式之和

python 复制代码

sum = 0
a = 0
for i in range (1,100):
    a += i
    sum += 1/a
print (sum)

运行结果

计算a+aa+aaa+a....a前6项之和（a=2）

python 复制代码

sum = 0
a = 2
for i in range (1,7):
    sum = sum + a
    a = a * 10 + 2
print(sum)

运行结果

5：用泰勒级数计算e的近似值，直到最后一项小于1e-6为止，

e=1+1/1!+ 1/2! +1/3!+......1/n!

python 复制代码

sum = 1 
t = 1
i = 1 
while 1/t > 1e-6:
    t = t * i 
    sum = sum + 1/t
    i += 1
print ("%.6f" %sum)

运行结果

计算π的公式

python 复制代码

pi = 1
f = -1 
i = 3
while 1/i > 1e-6:
    pi = pi + 1 / i * f
    i = i + 2
    f= -f
print(pi*4)

运行结果